Transformateurs élévateurs et abaisseurs – problèmes et solutions
1. La transformateur has a primary coil and a secondary coil with the number of loops are 500 and 5000. Input Tension is 220 V. What is the output voltage?
Connu :
Primary coil (NP) = 500 loops
Secondary coil (Ns) = 5000 loops
Primary voltage (VP) = 220 volts
Recherché : Secondary voltage (VS)
Solution:
Vs / Ns = Vp / Np
Vs / 5000 = 220 / 500
Vs / 5000 = 0.44
Vs = (0.44)(5000)
Vs = 2 200 volts
2. A transformer has primary coil with 1200 loops and secondary coil with 1000 loops. If the current in the primary coil is 4 Ampere, then what is the the current in the secondary coil.
Connu :
Primary coil (NP) = 1200 loops
Secondary coil (NS) = 1000 loops
The current in the primary coil (IP) = 4 ampères
Voulait: The current in secondary coil (IS)
Solution:
IS/IP = NP/NS
The current in the secondary coil :
IS4 = 1200/1000
IS/ 4 = 1.2
IS = 1.2 (4)
IS = 4.8 ampères
3. The secondary voltage is 220 Volt and primary voltage is 110 volt, then a comparison of the secondary coil and primary coil is…
Connu :
Secondary voltage (VS) = 220 volts
Primary voltage (VP) = 110 volts
Recherché : NS/NP
Solution:
VS/VP = NS/NP
220/110 = NS/NP
22/11 = NS/NP
2/1 = NS/NP
12/6 = NS/NP
4. Based on figure below, what is the primary voltage of the transformer.
Connu :
Secondary voltage (VS) = 24 volts
Primary loops (NP ou N1) = 11 N
Secondary loops (NS ou N2) = 1 N = N
Recherché : Primary voltage (VP)
Solution:
Vs / Ns = Vp / Np
24 / N = Vp / 11 N
24 / 1 = Vp / 11
24 = Vp / 11
Vp = (24)(11)
Vp = 2 200 volts
5. Based on figure below, what is the input voltage of the transformateur.
Connu :
Primary coil (N1) = 21 N
Secondary coil (N2) = 3 N
Secondary voltage (V2) = 20 volts
Recherché : Primary voltage (V1)
Solution:
V2 / N2 = V1 / N1
20 / 3 N = V1 / 21 N
20 / 1 = V1 / 7
20 = V1 / 7
V1 = (7)(20)
V1 = 2 200 volts
6. According to figure below, what is the amount of the secondary loops of the transformer.
Connu :
Primary voltage (VP) = 220 volts
Primary loops (NP) = 200 loops
Secondary voltage (VS) = 1100 volts
Recherché : Secondary loops (NS)
Solution:
Vs / Ns = Vp / Np
1100 volts / Ns = 220 Volt / 200 loops
1100 / Ns = 220 / 200
1100 / Ns = 1.1
Ns = 1100 / 1.1
Ns = 1000 loops
7. According to figure below, what is the amount of the secondary loops of the transformer.
Connu :
Primary voltage (VP) = 220 volts
Primary loops (NP) = 200 loops
Secondary voltage (VS) = 1100 volts
Recherché : Secondary loops (NS)
Solution:
Vs / Ns = Vp / Np
1100 / NS = 220 / 200
1100 / NS = 22 / 20
1100 / NS = 1.1
NS = 1100 / 1.1
NS = 1000
8.
| transformateur | Np | Ns | Vp | Vs | Ip | Is |
| 1 | 1000 | 120 | 12 | 0.4 | 2 | |
| 2 | 80 | 8 | 20 | 2 | 2.5 |
Based on the above table, if the efficiency of both transformers is the same, 50%, Determine Ns et moip.
Solution:
The equation of transformer’s efficiency :
Calculate Ns of the transformer 1 :
Calculer jep of the transformer 2 :
9.
Based on the above figure, which of the following statements about the figure above is correct.
A. Figure 1 is a step-up transformer and figure 2 is a step-down transformer
B. Figure 1 is a step-down transformer and figure 2 is a step-up transformer
C. Figure 1 and 2 are a step-down transformer
D. Figure 1 and 2 are a step-up transformer
Solution
Step-up transformer serves to raise the electrical voltage while the step-down transformer to reduce electrical voltage. In Figure 1, the primary voltage is greater than the second voltage (20 Volts > 5 Volts) so that Figure 1 is a step-down transformer. In Figure 2, the primary voltage is smaller than the second voltage (5 Volts < 40 Volts) so that Figure 2 is a step-up transformer.
La bonne réponse est b.
10.
If the primary coil has 800 loops, then determine the secondary coil.
Connu :
Primary loops = Np = 800 loops
Primary voltage =VP = 2 200 volts
Secondary voltage = VS = 2 200 volts
Recherché : Secondary loops (NS)
Solution:
Vs / Ns = Vp / Np
55 / Ns = 220 / 800
55 / Ns = 22 / 80
NS = (80)(55) / 22
NS = 4400 / 22
NS = 200 loops
11.
The correct statement about transformer P and Q is…
A. P is a step-down transformer because of Is <Jep
B. P is a step-up transformer because of Vp <Vs
C. Q is a step-up transformer because of Vp > Vs
D. Q is a step-up transformer because Is > Jep
Solution
P is step-up transformer because primary voltage (Vp = 110 V) < secondary voltage (Vs = 200 V).
Q is step-down transformer because primary voltage (Vp = 220 V) > secondary voltage (Vs = 110 V).
La bonne réponse est b.
- What is the primary function of a transformer?
- Compagnie de Solution: The primary function of a transformer is to change the voltage of an alternating current (AC) electrical power source. This is done by increasing (step-up) or decreasing (step-down) the voltage based on the application’s needs.
- How do step-up and step-down transformers differ in their function?
- Compagnie de Solution: A step-up transformer increases the voltage from the primary to the secondary coil, while a step-down transformer decreases the voltage from the primary to the secondary coil.
- What is the relationship between the number of turns in the primary and secondary coils of a transformer and its voltage transformation?
- Compagnie de Solution: The voltage transformation ratio is directly proportional to the turns ratio. If the secondary coil has more turns than the primary coil, it’s a step-up transformer, and vice versa. The voltage in each coil is proportional to the number of turns in that coil.
- Why is there a need to step up the voltage for transmitting electrical power over long distances?
- Compagnie de Solution: Stepping up the voltage reduces the current for a given power, which in turn reduces resistive power losses in transmission lines. Lower current also means thinner wires can be used, which are cheaper and easier to manage.
- Why do homes typically receive electricity at a much lower voltage than that used for transmission?
- Compagnie de Solution: Higher voltages, while efficient for transmission, are dangerous for domestic use. Thus, before electrical power enters homes, step-down transformers are used to reduce the voltage to safer levels for household appliances and electronics.
- Is energy lost when electricity is transformed from one voltage to another in a transformer?
- Compagnie de Solution: Ideal transformers would have no energy loss, but real transformers do have losses. These losses are mainly due to resistive heating in the coils and magnetic losses in the core. However, transformers are generally very efficient, often above 90-95%.
- What is the importance of the transformer core material?
- Compagnie de Solution: The core material plays a significant role in the efficiency and function of the transformer. It’s typically made of iron or ferrite, which helps guide the magnetic flux between the primary and secondary coils. The core material’s properties affect the transformer’s efficiency, magnetic losses, and ability to carry the flux without getting saturated.
- Can transformers work with direct current (DC)?
- Compagnie de Solution: No, transformers require a changing magnetic flux to induce voltage, which is provided by alternating current (AC). With direct current (DC), once the current stabilizes, there’s no changing flux, and thus, no voltage is induced in the secondary coil.
- Why might a step-down transformer be used in electronic devices like chargers?
- Compagnie de Solution: Many electronic devices operate at lower voltages than the standard household supply. A step-down transformer in a charger or adapter reduces the voltage to a level suitable for the device, ensuring it operates safely and efficiently.
- How do changes in load (like using more or fewer appliances) affect the output voltage of a transformer?
- Compagnie de Solution: In an ideal transformer, changes in load would not affect the output voltage. However, in real transformers, due to internal resistances and reactances, the output voltage can drop slightly under high load conditions and rise slightly under low load conditions.
